A racing car has a uniform acceleration of 4 ,m s^{-2} . What distance(in m ) will it cover in 10, s

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7. MOTION

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A racing car has a uniform acceleration of $4 \,m s^{-2}$. What distance(in $m$) will it cover in $10\, s$ after start ?

A

$100$

B

$50$

C

$200$

D

$400$

Solution

Initial Velocity of the car, $u =0 \,ms ^{-1}$

Acceleration, $a =4 \,m s ^{-2}$

Time, $t =10 \,s$

We know Distance, $s=u t+(1 / 2)$ at$^{2}$

Therefore, Distance covered by car in $10\, sec$ $=0 \times 10+(1 / 2) \times 4 \times 102$

$=0+(1 / 2) \times 4 \times 10 \times 10 \,m$

$=(1 / 2) \times 400 \,m$

$=200 \,m$

Standard 9

Science

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